1.8, 1.9, 1.9, 2.0, 2.1, 2.3, 2.4, 2.5, 2.5, 2.5, 2.7, 2.8, 2.8, 2.9, 3.0, 3.2, 3.2, 3.3, 3.7, 3.8 Find the mean, median, mode, sample variance and standard deviation

To analyze the given data set \( 1.8, 1.9, 1.9, 2.0, 2.1, 2.3, 2.4, 2.5, 2.5, 2.5, 2.7, 2.8, 2.8, 2.9, 3.0, 3.2, 3.2, 3.3, 3.7, 3.8 \), let's calculate the mean, median, mode, sample variance, and standard deviation.

### 1. Mean
The mean is calculated by summing all the values and dividing by the number of values.

\[
\text{Mean} = \frac{\sum \text{values}}{n}
\]

\[
\text{Mean} = \frac{1.8 + 1.9 + 1.9 + 2.0 + 2.1 + 2.3 + 2.4 + 2.5 + 2.5 + 2.5 + 2.7 + 2.8 + 2.8 + 2.9 + 3.0 + 3.2 + 3.2 + 3.3 + 3.7 + 3.8}{20} = \frac{57.5}{20} = 2.875
\]

### 2. Median
The median is the middle value when the data set is ordered. For an even number of observations, it is the average of the two middle values.

Sorted dataTo analyze the given data set \( 1.8, 1.9, 1.9, 2.0, 2.1, 2.3, 2.4, 2.5, 2.5, 2.5, 2.7, 2.8, 2.8, 2.9, 3.0, 3.2, 3.2, 3.3, 3.7, 3.8 \), let's calculate the mean, median, mode, sample variance, and standard deviation.

### 1. Mean
The mean is calculated by summing all the values and dividing by the number of values.

\[
\text{Mean} = \frac{\sum \text{values}}{n}
\]

\[
\text{Mean} = \frac{1.8 + 1.9 + 1.9 + 2.0 + 2.1 + 2.3 + 2.4 + 2.5 + 2.5 + 2.5 + 2.7 + 2.8 + 2.8 + 2.9 + 3.0 + 3.2 + 3.2 + 3.3 + 3.7 + 3.8}{20} = \frac{57.5}{20} = 2.875
\]

### 2. Median
The median is the middle value when the data set is ordered. For an even number of observations, it is the average of the two middle values.

Sorted  \( 1.8, 1.9, 1.9, 2.0, 2.1, 2.3, 2.4, 2.5, 2.5, 2.5, 2.7, 2.8, 2.8, 2.9, 3.0

Discover how to calculate the mean, median, mode, sample variance, and standard deviation for the data set: 1.8, 1.9, 1.9, 2.0, 2.1, 2.3, 2.4, 2.5, 2.5, 2.5, 2.7, 2.8, 2.8, 2.9, 3.0, 3.2, 3.2, 3.3, 3.7, 3.8. This guide provides clear formulas and explanations for each statistical measure, suitable for students in Grades 10-12.

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